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2104331040 = 2532571911093
BaseRepresentation
bin111110101101101…
…1000101100100000
312102122200002111200
41331123120230200
513302202043130
6544451041200
7103101342630
oct17533305440
95378602450
102104331040
1198a927069
124a88a0200
13276c762c6
1415d6966c0
15c4b20760
hex7d6d8b20

2104331040 has 288 divisors, whose sum is σ = 8257406976. Its totient is φ = 478033920.

The previous prime is 2104331003. The next prime is 2104331083. The reversal of 2104331040 is 401334012.

2104331040 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1924734 + ... + 1925826.

It is an arithmetic number, because the mean of its divisors is an integer number (28671552).

Almost surely, 22104331040 is an apocalyptic number.

2104331040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2104331040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4128703488).

2104331040 is an abundant number, since it is smaller than the sum of its proper divisors (6153075936).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2104331040 is a wasteful number, since it uses less digits than its factorization.

2104331040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1312 (or 1301 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2104331040 is about 45872.9881302712. The cubic root of 2104331040 is about 1281.4589159549.

Adding to 2104331040 its reverse (401334012), we get a palindrome (2505665052).

The spelling of 2104331040 in words is "two billion, one hundred four million, three hundred thirty-one thousand, forty".